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Finding the Fourth Proportional to 663.84, 916.64 and 593.77

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Solution

The fourth proportional to 663.84, 916.64 and 593.77 is: 819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.84 : 916.64 = 593.77 : x
  2. Step 2: Convert to fraction form
    663.84/916.64 = 593.77/x
  3. Step 3: Cross multiply
    663.84x = 916.64 × 593.77
  4. Step 4: Simplify right side
    663.84x = 544,273.33
  5. Step 5: Solve for x
    x = 544,273.33/663.84
  6. Step 6: Final answer
    x = 819.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.